(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For what values of k does the function f(x)= x^3 + 6x^2 +kx -4 give the same remainder when divided by x-1 and x+2?

answer, however in the booklet it says the answer is 3, why is this? what did i do wrong?

2. Relevant equations

3. The attempt at a solution

So.. i set up two equations one using f(1) and one using f(-2)

f(1)= 1 + 6 + 1k -4

f(1) = -2 +k

2 = k

f(-2) = 12 -2k

2k = 12

k= 6,

I plugged 6 and 2 into the equation of f(1) and got the same (remainder of 9)

wat am i doing wrong?

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# Bionomial theorem/ question (wp)

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